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Finding the Fourth Proportional to 2,570.88, 3,855.72 and 722.18

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Solution

The fourth proportional to 2,570.88, 3,855.72 and 722.18 is: 1,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.88 : 3,855.72 = 722.18 : x
  2. Step 2: Convert to fraction form
    2,570.88/3,855.72 = 722.18/x
  3. Step 3: Cross multiply
    2,570.88x = 3,855.72 × 722.18
  4. Step 4: Simplify right side
    2,570.88x = 2,784,507.30
  5. Step 5: Solve for x
    x = 2,784,507.30/2,570.88
  6. Step 6: Final answer
    x = 1,083.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.